Thursday, February 11, 2016

An empty relative density bottle weighs 40g. The bottle weighs 80g when filled with methylated spirit. And 90g when filled with water. Find the...

Hello!


I think that the volumes of spirit and water were the same, and probably equal to the inner volume of a bottle. Denote this volume as


A volume a mass and a density are bounded by the relation In particular,


and


where is the density of spirit, is its mass, is the density of water and is its mass. Denote also the mass...

Hello!


I think that the volumes of spirit and water were the same, and probably equal to the inner volume of a bottle. Denote this volume as


A volume a mass and a density are bounded by the relation In particular,


and


where is the density of spirit, is its mass, is the density of water and is its mass. Denote also the mass of a bottle as


The masses are actually known: and


So we have two (linear) equations and two unknowns, and From the second equation substitute it into the first equation and obtain:



We can use any units for here because is dimensionless. Therefore:


= (40/50)*1000 = 800 .



No comments:

Post a Comment

Is Charlotte Bronte's Jane Eyre a feminist novel?

Feminism advocates that social, political, and all other rights should be equal between men and women. Bronte's Jane Eyre discusses many...